What is the largest absolute difference between the areas of two of the right triangles that can be created by using the space diagonal as a hypotenuse in a rectangular prism with side lengths 4 cm, 6 cm, and 9 cm? Give your answer as a decimal to the nearest tenth.

Q: A rectangle is to be inscribed in a semicircle of radius 2. What is the largest area the rectangle…

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Q: A circle is having an area of 452 sq. m. is cut into two segments by a chord which is 6m from the…

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Q: Suppose Hayley wants to mail a poster inside a cylindrical container. To mail a cylindrical package…

A: Surface area of cylinder=2πr2+2πrl

Q: A circle is cut from a square sheet with center at the center of the square. If the diagonal of the…

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Q: a rectangle eith sides measuring x in. and 4x-1 in has an area of 663in^2. what are the dimensions…

A: We are given a rectangle with the sides being x in and 4x-1 in. Also the area of the rectangle is…

Q: What is the area of the triangle formed if it bounded by the x and y axes and the line,  2x - 3y =9?

A: Here we have to find the area of the traingle since Area of  Triangle = 1/2 *(hight)*base

Q: "An engineer is using a machine to cut a flat square of Aerogel of area 144 sq. c.m. If there is a…

A: Square have an area of 144 cm2, hence the side is 12 cmGiven that ε=8, a=12 and L=144The engineer…

Q: suppose that a can has a radius of 0.8 inches and a height of 3.2 inches how much soup would be able…

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Q: What are the dimensions of the lightest open-top right circular can that will hold a volume of…

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Q: Find the area of the regular polygon. (Round all decimals to two decimal places as you go.

A: The sides of a right triangle are related by the Pythagoras expression . Here, c is the length of…

Q: Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius r.

A: Consider a rectangle, inscribed in a circle of radius r.Then,

Q: 2. Find the area of a regular octagon with radius 3. Round your answer to the nearest tenth.

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Q: Determine the dimensions of the rectangle of largest area that can be inscribed in the right…

A: Given: AF=4, AD=5, and DF=3. AC= (4-h) and DE= (3-w) Therefore,

Q: Among all triangles in the first quadrant formed by the x-axis, the y-axis, and tangent lines to the…

A: For the triangle to be in the first quadrant "a" must be after the vertex to x=3 Vertex is at  So…

Q: Starting with a 60​-foot-long stone​ wall, a farmer would like to construct a rectangular enclosure…

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Q: The radius of the largest sphere with center (29,330,290) that is contained in the first octant is…

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Q: An open box is to be made from a 16 cm by 30 cm piece of cardboard by cutting out squares of equal…

A: according to our guideline we are supposed to answer only the first question if we want any…

Q: Starting with a 200-foot long stone wall, a farmer would like to construct a rectangular enclosure…

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Q: An Closed rectangular tank with a squarc base can accommodate 1,922 Cubic feet of water. Find the…

A: According to question, Volume of rectangular tank = 1922 cubic feet

Q: A farmer is building a fence to enclose a rectangular area against an existing wall, shown in the…

A: In the given question we have to find the value of maximum area that can be enclosed by the fence.

Q: An isosceles right triangle is inscribed in a circle that has a diameter of 12 in. Find the exact…

A: The figure is as below.

Q: Find the volume of a right regular triangular pyramid, where the base edge x = 36 cm and the  height…

A: Given that: Find the volume of a right regular triangular pyramid, where the base edge x = 36 cm and…

Q: Find the area of a regular hexagon whose sides have length of 12 and whose apothem is equal to 6…

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Q: If the length of three sides of a trapezium other than base are equal to 10 cm, then find the area…

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Q: Starting with a 160-foot-long stone wall, a farmer would like to construct a rectangular enclosure…

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Q: Find the dimensions of the largest rectangle that can be inscribed in a semicircle of radius r

A: Let the length of the rectangle be 2x and the width of the rectangle be y. From the figure, the…

Q: In calculus, it can be shown that the largest possible volume for the inscribed right circular…

A: Inscribe a cylinder in a sphere. We draw the cross section of the solid as follows   Let  be the…

Q: Suppose that the volume of an aluminum can is to be 97 in. Find the dimensions of the can if the…

A: given: the volume of an aluminium can is 9π in3. we have to find the dimensions of the can if the…

Q: A side of an equilateral triangle is 16 m long. What is the area of the triangle? Do not round any…

A: We need to find area of triangle.

Q: A rectangle with sides measuring x in. and 4x-1 in. has an area of 663in.^2. What are the dimensions…

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Q: A side of an equilateral triangle is 38 yd long. What is the area of Do not round any intermediate…

A: Given, Equilateral triangle

Q: A box with no lid is made by cutting 4 squares of side lenght x from each corner of an 18 cm by 35…

A: After cutting side length x from each side length be l  , l=18-2x breadth be b , b=35-2x height be h…

Q: Find the area in sq. cm of a regular octagon inscribed in a circle of radius 10 cm?

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Q: ind the dimensions of the rectangle of largest area that can be inscribed in a circle of radius

A: We will create a rectangle inside the circle and find the length and breadth

Q: Starting with a 140-foot-long stone wall, a farmer would like to construct a rectangular enclosure…

A: Given: Length of the stone wall is 140 foot. A rectangular enclosure is added by adding 700 feet of…

Q: Suppose Hayley wants to mail a poster inside a cylindrical container. To mail a cylindrical package…

A: Given:  Let the lenght of of the package= x                   the radius of of the package= r…

Q: A cube with edges of 2 cm holds 468 grains of rice. How many grains of rice are in a cylinder with a…

A: Answer

Q: What is the area of the rectangle at the top of this monster

A: we have to find the area of the triangle at the top of this monster

Q: Suppose a weight is to be held 10 feet below a horizontal line AB by a wire in the shape of a Y. If…

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Q: A company that manufactures dog food wishes to pack the food in closed cylindrical tins.  What…

A: Given volume of the can is (128)πcm3 Let height=h radius=x

Q: Show that among regular polygons having the same perimeter, the area increases with the number of…

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Q: Suppose an open box with a rectangular base is to be constructed from a rectangular piece of…

A: To find the maximum possible volume of the box in cubic inches

Q: An equilateral triangle has a height of 20 inches. How long is one of its sides? (Hint: Use the…

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Q: Starting with a 80-foot-long stone wall, a farmer would like to construct a rectangular enclosure by…

A: given,             farmer adds fencing of 480feet.

Q: Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius r .

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Q: Starting with a 40-foot-long stone wall, a farmer would like to construct a rectangular enclosure by…

A: Length of the stone wall is 40 foot. Rectangular enclosure fencing is 280 feet after addition. The…

Q: 2. Find the lengths of all sides of the right triangle below if its area is 400. 2x

A: Topic:- Geometry  X=20 2X =40 H =20√5

Q: Starting with a 20-foot-long stone wall, a farmer would like to construct a rectangular enclosure by…

A: Introduction: Consider the function f ( x ) with one variable. Using derivatives, the function…

Q: The tin can shown at the right has the indicated dimensions. Estimate --1% in. the number of square…

A: Tin can has shown the dimensions     We have to calculate the number of square inches of tin…